chore(deps): bump react-native from 0.78.0 to 0.82.1 in /example

Bumps [react-native](https://github.com/facebook/react-native/tree/HEAD/packages/react-native) from 0.78.0 to 0.82.1.
- [Release notes](https://github.com/facebook/react-native/releases)
- [Changelog](https://github.com/facebook/react-native/blob/main/CHANGELOG-0.7x.md)
- [Commits](https://github.com/facebook/react-native/commits/v0.82.1/packages/react-native)

---
updated-dependencies:
- dependency-name: react-native
  dependency-version: 0.82.1
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

example/package.json

@@ -22,7 +22,7 @@
     "events": "^3.3.0",
     "expo-status-bar": "^1.12.1",
     "react": "19.0.0",
-    "react-native": "0.78.0",
+    "react-native": "0.82.1",
     "react-native-nitro-modules": "0.27.2",
     "react-native-nitro-sqlite": "9.1.11",
     "react-native-safe-area-context": "^5.2.0",